Solve 1/2*2x-1geq5/4

$$\frac { 1 } { 2 } \cdot 2 x - 1 \geq \frac { 5 } { 4 }$$

Solve for x

$$x\geq \frac{9}{4}$$

Solution Steps

Cancel out 2 and 2.

$$x-1\geq \frac{5}{4}$$

Add 1 to both sides.

$$x\geq \frac{5}{4}+1$$

Convert 1 to fraction \frac{4}{4}.

$$x\geq \frac{5}{4}+\frac{4}{4}$$

Since \frac{5}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

$$x\geq \frac{5+4}{4}$$

Add 5 and 4 to get 9.

$$x\geq \frac{9}{4}$$